{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c982abca",
   "metadata": {},
   "source": [
    "# Interpretation 3: KAN Compiler"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6b9ec6c4",
   "metadata": {},
   "source": [
    "We have shown in many examples how to extract symbolic formulas from KANs. Now we want to consider the reverse task: compiling a symbolic formula into KANs. This might be needed for many reasons. One use case is that we have prior knowledge which is the approximate ground truth (empirical/constitutive laws etc.) and we want to build this knowledge into neural networks and only fine tune the network to real data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d8f94f0f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x400 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kan.compiler import kanpiler\n",
    "from sympy import *\n",
    "from kan.utils import create_dataset\n",
    "import torch\n",
    "\n",
    "input_variables = x,y = symbols('x y')\n",
    "expr = exp(sin(pi*x)+y**2)\n",
    "\n",
    "model = kanpiler(input_variables, expr)\n",
    "\n",
    "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,0]) + x[:,1]**2)\n",
    "dataset = create_dataset(f, n_var=2)\n",
    "model.get_act(dataset)\n",
    "\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "535c253f",
   "metadata": {},
   "source": [
    "if you want more complicated formulas, you can load in an equation in the Feynman dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "e9cf1b61",
   "metadata": {},
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'sf2kan' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m/var/folders/6j/b6y80djd4nb5hl73rv3sv8y80000gn/T/ipykernel_31629/3313980476.py\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      5\u001b[0m \u001b[0minput_variables\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mexpr\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mf\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mranges\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mget_feynman_dataset\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mproblem_id\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      6\u001b[0m \u001b[0mn_var\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0minput_variables\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 7\u001b[0;31m \u001b[0mmodel\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msf2kan\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0minput_variables\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mexpr\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      8\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m \u001b[0mdataset\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mcreate_dataset\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mn_var\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mn_var\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mranges\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mranges\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mNameError\u001b[0m: name 'sf2kan' is not defined"
     ]
    }
   ],
   "source": [
    "from kan.feynman import get_feynman_dataset\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "problem_id = 2 # problem_id in 1-120\n",
    "input_variables, expr, f, ranges = get_feynman_dataset(problem_id)\n",
    "n_var = len(input_variables)\n",
    "model = sf2kan(input_variables, expr)\n",
    "\n",
    "dataset = create_dataset(f, n_var=n_var, ranges=ranges)\n",
    "model.get_act(dataset)\n",
    "#model.plot(in_vars=input_variables, out_vars=[expr], beta=10000, title='P{}'.format(problem_id))\n",
    "model.plot(in_vars=input_variables, out_vars=[symbols('omega')], beta=10000)\n",
    "#plt.savefig('./fig1.pdf', bbox_inches='tight', dpi=200)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d1db913e",
   "metadata": {},
   "source": [
    "We can check that the model indeed achieves zero loss (near machine precision) on the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "910c99a9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor(4.0276e-16, grad_fn=<MeanBackward0>)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "torch.mean((model(dataset['train_input'])-dataset['train_label'])**2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "35c347d2",
   "metadata": {},
   "source": [
    "Assume we have a dataset for which the symbolic formula is only an approximate ground truth, we want to train on the real data to fine tune the model. The current model has the symbolic front turned on and the spline front turned off. So only the affine parameters in the symbolic equations are trainable. Depending on how much expressive power you would like, you may need:\n",
    "\n",
    "* If you want to keep the symbolic functions, but just train the affine parameters, no need to do anything.\n",
    "* If you want to the functions to be trainable, call model.perturb(). If you want only the currently active functions to be trainable while the currently dead functions to remain dead, use mode='minimal'. Otherwise if you want to allow the currently dead functions to be active, use mode = 'all' (by default).\n",
    "* If you think the ground truth should be more complicated than the current network, you can expand it first using expand_width and/or expand_depth, and then use model.perturb().\n",
    "\n",
    "In the following, we present the most complicated case where you want to expand the network first."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "63af424e",
   "metadata": {},
   "source": [
    "step 1: expand depth, add an extra linear function in the end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "381b8a03",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x800 with 35 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.expand_depth()\n",
    "model.get_act(dataset)\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "27a934fe",
   "metadata": {},
   "source": [
    "step 2: add two addition nodes in layer 1."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "5c5f92c9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x800 with 49 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.expand_width(1, 2)\n",
    "model.get_act(dataset)\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3459fc85",
   "metadata": {},
   "source": [
    "step 3: add two multiplication nodes in layer 2, with arity 2 and 3."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "ec1bfb11",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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aef3JlRguZLjb3TlndQdicp3Dhw8jPDwc06ZNY8uRXI7hQoZx9vlPnToVx48fR/ny5REaGso+fw+TlpZ2c6fmjGNePXv2xLPPPssxLzIEw4XuiXO2UlhYGDZs2ICgoKCbOxBztpLni4+Px6xZsxAeHo6oqCjO1iPDMFwo2zKus5gzZw6uXbuGJ554Aj179uQ6CxPbv38/wsPDMWPGDK4zonvGcKEsc64QDw8Px5EjR1CqVKmbOxBzhbh1cIcEMgLDhe4qKSkJixYturkDMfe28i6329ute/fuCA0N9Yq93SjnGC70Dxl35Z01axYuXbp0c1fejh074r777tNdIrmZN+1KTcZguNBNtztPpHv37ujZsyfPE6GbMrZmV61ahcDAwJutWTOfp0PGYrh4ududhNimTZub/es8CZHu5tSpUzd3ao6JiUGZMmXQo0cP05wESq7DcPFSzjPcZ8yYgbi4uJtnuHfu3BkPPvig7vLIZJRS2Lp1680ZhAkJCXjiiSdu7tScJ08e3SWSmzFcvMjFixcxa9YshIWFZVrT0LNnT9SoUUN3eWQRt659ypcv3821Tw0aNODaJy/BcDEJu90OpRR8fX2z9ctpt9tvrsZeuHAh7HZ7ph2IAwICXFg1ebujR4/e3Kn5r7/+QsWKFW/u1Fy0aNFsf7+c/h6Q+zFcPJhSCgcOHEBERAR+/fVXpKSkoESJEmjbti1atmyJwMDAO/7bI0eO3NxH6vTp06haterNfaSCg4Pd+CiIZL+59evX39xvLiUlBS1atLi531yuXLnu+G/v5feA9GG4eKi0tDSMHz8ekydPRvv27VGvXj0EBAQgLi4Oc+bMga+vL8aOHYsiRYrc/DfXrl27uQPu1q1bUaBAgZs74NauXZt3euQRbrdTs3On7Fq1amV6nebk94A8hCKPFBYWpurUqaMOHDig7Ha76t27typTpozauXOnSkxMVMOHD1ft27dX165dU+vWrVPdunVTefLkUT4+PqpFixZq9uzZKjExUffDILqrgwcPqiFDhqgiRYooAKp69erq66+/VnFxcUqprP8eXL9+XfMjoVsxXDxQXFycqlGjhtq4caNyOBzKbrerNm3aKD8/P7Vp0yallFLJycmqc+fOqlChQgqAKleunPriiy/UyZMnNVdPlH2pqalq6dKlqkOHDiogIED5+fmpVq1aqbJly/7r70HXrl3VrFmzND8CuhUXMXig7du3o1ChQihVqhRiYmLgcDiQkJAApRROnTqF6Oho2Gw2dOvWDbt27cLcuXPRuHFjdnuRafn5+eGZZ57BM888g/j4eERERGDMmDEoUaLEv/4edO3aFVOmTEHHjh25gNODcMzFA40aNQrHjx/HhQsXsGTJEgBAYmIi7HY7AgMD4evri/z58yMiIgIff/wxVq5cedcBUSIzGjVqFI4dO4b4+Hj+HpgQWy4eKCAgAMnJyShWrBgqVaoEAIiJicHly5dRqlQpBAUFISgoCD4+PrDZbGyxkCUFBAQgJSWFvwcmxTakB6pZsyb27duHDz74AFu2bMHmzZvRuHFj+Pn5Yfz48diyZQtWrFiBM2fOoEKFClyrQtbzxx+ouW4d9u3cyd8Dk2K4eKCQQoUQGBODBfPmwd/fHwEBATf7kp3/n5CQgEmTJqFLly6aqyUySFoasHAh8PTTQLVqCNm+HYHXrmHBggX8PTAhhouniYhA3oYNMczfH6NGjMCsWbOQnJyMcuXKoXbt2ggKCsLJkyfxxhtvoH79+mjYsKHuionuzYULwIgRQLlyQLt2QGIiMHMm8v71F4bNnIlRo0bx98CEOKDvKS5fBt58E4iIADp3BsaPx9bff8d7772H3Llzo0GDBsibNy+OHj2KqKgodOrUCf379+cAJpnX3r3A+PHymgfkdf/GG0BISKYv27p1K38PTIjh4gk2bQK6d5eAGT8eyNDEv3btGrZv346oqCgkJiaiXLlyaNKkCUqWLMkBTDKflBRg3jx5nW/bBpQoAbz2GtCnD1Cw4B3/GX8PzIfholNKCvDJJ9Il0KgRMHUqwDMwyIrOngUmTAB+/BE4dw548klppTz3HMAzgyyJz6ouhw8DXbsC+/YBn38ODB4M+PrqrorIOEoB27dLK+Wnn4BcuaSF/vrrQNWquqsjF2O4uJtScvc2cKB0CWzbBtSurbsqIuMkJgKzZ0uo7N0rA/UjRwI9egAFCuiujtyE4eJOcXFA377Azz8D/foBX30F5M2ruyoiY5w4AfzwAzBpEnDxItCqFbBsGdC8OcBtWbwOw8Vdli0DevUCHA6Zy//887orIrp3SgHr1wPjxgGLFwP58snr/LXXpMVCXou3E6524wbQvz/QurVMsdy/n8FC5peQAHz/PVC9uix6jI6WbrBTp4BRoxgsxJaLS/3yiwzaHzsGfPutDGRy2iSZ2ZEjEiphYRIwbdtKq6VJE762KROGiys4HDKe8tFHMitmzx6gShXdVRHljMMBLF8uLZMVK2Q9yhtvyLhhyZK6qyMPxXAx2smTMitm40Zg0CDg009lCiaR2Vy6JC2U774Djh6Vbt2wMKBTJyB3bt3VkYdjuBgpMlIGMoOCgDVrgCee0F0RUfYdOCCtlBkzgNRUoGNH+e969dj1RVnGFfpGuHpVBu2nT5dfxO+/B+6/X3dVRFmXlgYsWiShsmEDULSodHv17Qs89JDu6siE2HK5V1u2yKrj+HjZvqVrV97dkXmcPw9MnCjrU06dkm2IZs8GXngB8PfXXR2ZGMMlp1JTZTxl2DCgQQNg7VqgTBndVRFlzZ49Mstr9mxZ4NiliwzSP/KI7srIItgtlhPR0dJC2bsX+PhjYOhQbr5Hni85GZg7V0Jl507ZJPW114DevYEHHtBdHVkM3xGzQynZ2uKdd6RPeutWoG5d3VUR3d3p0+k7EsfFAc2ayS4Rzz7LzVLJZRguWXXhggxuLlokf48aJbPCiDyRUjIeOH48MH++TB3u0UO6vipV0l0deQGGS1asXAmEhso4y/z5siqZyBPduCEnO44fL8c5VKggN0I9egD58+uujrwI9xa7m8RE4O23ZXfXmjVlXzAGC3miY8fkTKASJdJXzq9YAfzxh0yTZ7CQm7Hlcif79smgfUwMMGaMnG/PbcPJkygli3XHjQOWLJGzUnr3Bl59FShbVnd15OUYLrdyOIDRo4EPPpC+6d27gWrVdFdFlO7aNVlTNX68nGhao4YM1r/8MpAnj+7qiAAwXDI7dUrGVtauBf7zH+CLL7gvGHmOw4clUKZOlbGVdu1kFlijRly4Sx6H4eI0d670VefJA6xeDTz1lO6KiAC7XQ6aGzdOXpeFCwMDBshrtVgx3dUR3REHEa5dk5PzOnaUQNm3j8FC+l28KMc2VKgAtGkj+9dNmyZHCX/6KYOFPJ53t1y2bZN9weLigClTZLomuxdIp337pOtr5kxptbz0kmzRUqeO7sqIssU7wyUtDfj8c/lTr56sY3n4Yd1VkbdKTQUWLJBQ2bxZWiXvvy+LdQsX1l0dUY54X7jExADdusnGfR99JLPCuC8Y6RAbm74ty5kzclTwnDmyloqvSTI573kFKyWn6A0YIOdTbN4M1K+vuyryNkoBu3bJAP2cORIi3boBr78uU4qJLMI7dkWOj5fZNfPny+D96NFAvny6qyJvkpQkYTJunLSay5aVQAkN5cFyZEnWb7msXi2/wElJMt24XTvdFZE3OXlSur0mTJDNT1u0AH7+GWjZkjsSk6VZN1ySkmRQdMwY4OmnpUuM0zfJHZQCNm2SVsrChbJ2KjRUWioVKuiujsgtrBkuBw7IvmCHDwNffw289Rb3BSPXu35dphCPHy+vwcqVgW++kTEVdsOSl7FWuDgcwNixwHvvAeXLy8ApB0nJ1f78E/j+e1krdfUq8PzzclPz5JNcN0VeyzoD+mfOSNfD6tWyTf6XX8oBSUSu4HAAq1ZJK2XZMhmU79tXJo6ULq27OiLtrNFymT8feOUV2WRyxQqgeXPdFZFVXbkChIcD330HREcDjz4qR1+/9BIQGKi7OiKPYe5wSUiQVsqUKcALL8isnIIFdVdFVvTHH9JKmTYNSE4GOnSQSSINGrDri+g2zNsttnOnDNqfOyeDpqGh/CUnY6WlySFc48YB69bJ4tt+/aT7q2hR3dUReTTzTaFKS5NdYRs1klbKL7/IwkgGCxnlwgVgxAigXDlZF5WYKLPAjh8HPv6YwUKUBebqFjt6VHYx3rED+PBD2RfM3193VWQVe/dK11dEhPx/587AG28AISF66yIyIXOEi1LS1/3WW9Ja2bQJaNhQd1VkBSkpMiFk3Dg5gqFECWmd9OnD8Tuie+D54XLxIvDqq7J1S48eMr6SP7/uqsjszp5N35H43DlZkzJvHvDcc9yRmMgAnv1btG6dBMqNG0BkJPDii7orIjNTCti+Xbq+fvpJpq537y7bslStqrs6IkvxzAH95GTg3XdlT7CKFeV0PgYL5VRiokwbrlNHJoLs3g2MHCmbSo4fz2AhcgHPa7n8/rtMMT54UN4A3nmH+4JRzpw4AfzwgyxyvHgRaNVKVtM3b87XFJGLeU64KCWDqkOGyFkXO3cCNWvqrorMRilg/Xp5LS1eLBtG9uoFvPaaTC0mIrfwjHA5exbo3Vu2bunfHxg+nFtpUPYkJADTp0s31x9/SFfX+PFAly5AUJDu6oi8jvYV+glnzsgmgEpJV8XfiyHPxcai3KOP6iyNTCLhzBl5/Tgc8vr5+w9fQ0T6aG+5BBUtKm8MQKZV9lfOntVUEZlNkHPFvFJ8DRF5CP2jmpcvp99tEt0LvoaIPIb+cGnSRHcFRERkMP3hsmKFnJFBZKT4eN0VEHk1/eFSpIjs7fTbbzIgS2SEp5/WXQGRV9M+oK+UAnr2lHCZNw/ImxcoUgRmPWaG3E+dOPH3fyg5kuHkSWDtWqijR/UWRuTFtIfL9dhYabE88ADQuLFs1REXh2BuTklZdP3QIfkPu132CytcGEhJQXDevHoLI/Ji2te5AJAtX6pXByZPlhMlibKrRw9ZmR8TAwQE6K6GyOt5RrgAQNu2wOHD0j3m66u7GjKT48eB8uVlL7q339ZdDRHBEwb0nYYOlXBZuFB3JWQ2o0YBBQrI2fZE5BE8p+UCyIFN164Bu3ZxQRxlTWwsUKaM3Jz83//proaI/uY5LRdA3iCiooC1a3VXQmbx7bdycuSbb+quhIgy8KyWi1JyoFOBAsCaNbqrIU939SpQqpScdz9ypO5qiCgDz2q5+PjIeS7r1knXGNHdfP+9HIHNQXwij+NZLRdA1ipUrQpUqSIr94luJzFRDpV77jlgwgTd1RDRLTyr5QLINOR335VZYwcP6q6GPNXUqcD58/JaISKP43ktFwBISQEeflj2hwoL010NeZq0NKBiRRmfmz1bdzVEdBue13IBZIX1f/4DzJwJ/PWX7mrI08yZAxw7JuNzROSRPLPlAsiZ6KVLyxno33yjuxryFEoBjzwCFC0KLF+uuxoiugPPbLkAQFAQ0L8/MGmS9K0TAcDSpcCBA7Imiog8lue2XAA58Kl0aeCdd4BPP9VdDXmCxo1lF+0tW7iLA5EH89yWCwA8+CDwyivAuHGyYI682+bNwNat0mphsBB5NM9uuQDAqVMyc+zzzznt1Ns9+6xM8Ni3D7B59n0Rkbfz/N/Q4sWBbt2A0aOBpCTd1ZAuv/4qA/hDhjBYiEzAHL+l774ru99Onaq7EtJlxAgZf3vpJd2VEFEWeH63mFPHjsDevcChQ7ILLnmPmBigUiVg7Fjg9dd1V0NEWWCOlgsg3SFHjwJz5+quhNztq6+AggV5BDaRiZin5QIALVoAcXHSguFsIe9w5oxsUPnxx8B77+muhoiyyDwtF0CmoO7bx5XZ3mTMGCB3bnaHEZmMuVouSgENG8reYxs36q6GXO3SJTkM7M03gS+/1F0NEWWDuVouPj7SenEupiNrGz9edkAeMEB3JUSUTeZquQCy9UeNGkCZMsDPP+uuhlzlxg2Zetyxo+zQQESmYq6WCyAL6AYPlg0M9+/XXQ25yqRJ0i02cKDuSogoB8zXcgGA1FSgQgUZf5k5U3c1ZLSUFKB8eeDxx4Hp03VXQ0Q5YL6WCwD4+8sdbWSkrH0ha5k1Czh5koeBEZmYOVsugPTJlykDtG8PfPed7mrIKA4HUL06UK4csGiR7mqIKIfM2XIBgDx5gLfeAsLCgHPndFdDRlm0CDh4kK0WIpMzb8sFAC5flnUQr70GDB+uuxq6V0oB9esDgYHAhg26qyGie2DelgsAFCggwfL99xI0ZG7r1gG7d/MIYyILMHfLBZAusTJlgI8+At5/X3c1dC+aN5ejrffs4d5xRCZn7pYLADz0kOyW+803MshP5rRnD7BmjYy1MFiITM/8LRcA+PNPoGJF2eTwzTd1V0M50aGDLIo9eBDw9dVdDRHdI2uECwB06SL7jUVHyzoYMo9Dh4CqVYEffgD69tVdDREZwPzdYk5DhgB//QXMnq27EsqukSOBIkWA7t11V0JEBrFOywUAnnsOOHZMulds1slNSzt5Enj4YWDYMO4jRmQh1noHHjIE+OMP7pZsJl9/DeTLB7zyiu5KiMhA1mq5ALLZYWoqsG0bZx15ugsXZFv9gQOB//5XdzVEZCBrtVwAWYC3cydXeJvBt9/K3/37662DiAxnvZaLUkCtWkBwMLBihe5q6E6uXZNWS/fuwOjRuqshIoNZr+Xi4yNjL6tWAVFRuquhO5kwQQLmP//RXQkRuYD1Wi6AnLteqZK0YObM0V0N3So5WWaINW8OTJmiuxoicgHrtVwAwM8PePddYN484PBh3dUQALvdjrS0NCilgGnTgLNn5bhqcptMzwFp4U3PgTVbLgCQlASULQs8+ywwcaLuarySUgoHDhxAREQEfv31V6SkpKBE8eJou2YNWtarh8AFC3SXaHm3fQ5KlEDbtm3RsmVLBAYG6i7R8rz1ObBuuADAyJFQH36IsA8+wJ/JyQgODkanTp0QHBysuzLLS0tLw/jx4zF58mS0b98eTz31FPLmzYs/Y2IQMXUqfJOTMXbaNBQpUkR3qZZ1p+cgJiYGERER8PPzw9ixY/kcuJA3PweWDReHw4H/DhyIAWPGIBzAUH9/2O122Gw2DBw4EF9++SVsXMXvMuHh4fjuu+8wYsQI5MuXDyEhIQCA8+fPY9euXdi/fz+ioqIwffp05MmTR3O11sTnQD+vfg6URQ0ZMkQBUJ8C6iqgHgAUMvwZMmSI7hItKy4uTtWoUUMtWbJEtW7dWj300ENqxYoV6uzZs6ply5Yqf/78av78+apz585q1qxZusu1JD4H+nn7c2DJcDl37pzy8/NTAFRBQCUA6v9uCRc/Pz917tw53aVa0qJFi9TTTz+tEhIS1AcffKD8/f1V4cKFVZ06dZSPj4+qV6+eOnbsmFq9erVq06aNstvtuku2HD4H+nn7c+Cnr83kOpGRkXA4HACACwAmAegPYBSA639/jcPhQGRkJN566y09RVpYdHQ0KlWqhDx58uCjjz7C9evXMWbMGMTFxaFy5cqIiIhAqVKlYLPZcOTIEaSmpiJXrly6y7YUPgf6eftzYMlBh9jYWPhmOHBqFIAoAAUzfI2vry9iY2PdXZpXCAgIQHJyMgDg8uXLOHjw4M3PxcfHIzo6GgCQmpqKtLQ0+HAPOMPxOdDP258DS4ZLcHAw7Hb7zf8/CaAlgBMZvsZut3PWmItUq1YNUVFROHPmDHr16oVVq1ahXr16eOONN3Dp0iX06NEDGzZswK5du1C4cGEEBAToLtlyKleuzOdAs/Lly2PPnj1e+xxYslusU6dOGDhw4M2usdux2Wzo1KmTG6uyPrvdjp9++gkff/wx/vzzT8ydOxeFChVC/fr1MXPmTBQtWhQFChTA1KlTER8fj9GjR+ODDz7QXbalpKSkYMqUKfjss88QGxvL50CDhIQEfPvttxg5ciSuXbvmvc+B7kEfVxk8eHCmAfxb/3C2mHHsdruKjIxUVapUUQBUq1at1KRJk1Tx4sXV999/r/766y/lcDiUw+FQiYmJas2aNeqFF15QDRs2VGlpabrLt4Tk5GT1448/qpIlSyofHx/VuXNnFRERwefAjRISEtSIESNUwYIFlb+/v3rttdfUggULVLFixbzyObBsuISFhSkAymazKZvNpvz9/ZXNZlN+fn5qyJAhlpuZoYPdbldz585V1apVUwBUixYt1Pbt229+vlevXsrf3181adJEffLJJ+rrr79Wr7zyiipWrJhq2rSpunHjhsbqrSElJUVNmjRJlS5dWvn4+KhOnTqp33///ebnW7VqpQICAvgcuND169fVV199pQoVKqT8/f1Vv3791IkTJ5RSSjkcDlWrVi2VK1eufzwHRYsWVXny5FEXL17U/Ahcw5LhcubMGVWgQAHVtWtXde7cOfXNN9+o999/X33zzTecfmwAh8Oh5s+fr2rUqKEAqKefflpt3bo109fs27dP+fv7q3fffVfNnj1btW7dWj322GOqS5cuavfu3crhcGiq3hpSU1PVlClTVNmyZRUA1aFDB3XgwIFMX7N8+XIFQI0bN47PgQvcuHFDff311yo4OFj5+fmpvn37quPHj2f6mh9++EEBUIsWLfrHczB79mzl7++v3nvvPU2PwLUsFy4Oh0M9//zzKjg4WMXHx+sux1IcDodauHCheuSRRxQA9eSTT6rNmzf/4+tSUlJUrVq1VNWqVVVSUpKGSq0rNTVVhYeHq4cfflgBUO3atVP79u37x9ddvnxZFS9eXDVv3pwhYrAbN26oMWPGqIceekj5+vqqXr16qaNHj/7j644fP66CgoJU37597/i9Pv/8c+Xr66t2797typK1sFy4zJw5UwFQ8+fP112KZTgcDvXzzz+rkJAQBUA1bdpUbdiw4Y5f/8UXXyibzaZ27drlxiqtLS0tTU2fPl2VL19eAVBt27ZVv/zyyx2/vm/fviooKOhm9wzdu8TERPXtt9+qIkWKKF9fX9WzZ08VExNz2691OByqWbNmqnjx4ury5ct3/J4pKSnq0UcfVdWqVbPcjZilwuXcuXPqgQceUJ06ddJdiiU4HA61dOlSVadOHQVANW7cWK1bt+6u/+a3335TAQEBnDBhkLS0NDVz5kxVsWJFBUA999xzKioq6q7/ZvXq1QqA+v77791UpbUlJSWp8ePHq2LFiimbzaa6d++uoqOj7/pvJk2apACo5cuX/+v3//XXX5Wfn5/66KOPjCrZI1gqXNq3b68KFSqk4uLidJdiag6HQy1fvlzVq1dPAVCPPfaYWrNmzb92r6Smpqq6deuqSpUqqcTERDdVa012u13NmjVLVa5cWQFQzz77bJa6Tq5evapKlSqlnnzySU5auUfJycnq+++/VyVKlFA+Pj6qS5cu6tChQ//6706ePKny58+vQkNDs/yzPvnkE+Xn53fX1qjZWCZc5syZowCoOXPm6C7FtBwOh1q1apVq0KCBAqDq16+vVq5cmeU++//973/KZrNlmjFG2WO329WcOXNU1apVb07r3rlzZ5b//euvv67y5s172zEAypqUlBQ1YcKETNO6Dx48mKV/63A41DPPPKOKFi2qLl26lOWfmZycrGrUqKEeeeQRlZKSksPKPYslwiUuLk4VKlRItW/fXncppuRwONSaNWvUY489pgCounXrquXLl2drIPjQoUMqV65cauDAgS6s1Lqc07qrV6+uAKjmzZtnO6TXr1+vAKhvv/3WRVVa263Tujt27JhpWndWTJ06VQFQP//8c7Z/flRUlPL19VWffvpptv+tJ7JEuLz00kvqwQcf5DTjHFi/fr16/PHHFQBVu3ZttXTp0mzPLkpLS1MNGzZU5cuX57qJbHJO665Zs+Ydp3VnRUJCgipbtqx6/PHH2R2WTVmZ1p0VGZdA5JRz9+T9+/fn+Ht4CtOHy4IFCxQANXPmTN2lmMrGjRtV06ZNFQBVq1YttXjx4hxPWR09erTy8fG57bRkuj2Hw6EWLVqkHn300ZvTujdt2pTj7zdgwAAVGBj4rwPNlC41NVVNnTr1X6d1Z4XD4VBt2rS55yUQSUlJqmrVqiokJESlpqbm+Pt4AlOHS3x8vAoODlbPP/885/Jn0ebNm9WTTz6pAKhHHnlELVy48J6uXXR0tAoMDFRvvfWWgVVa163Tups0aXLXad1ZsWXLFuXj46O+/vprg6q0tlundbdp0+aeB9IjIiIMWwKxa9cuZbPZ1LBhw+75e+lk6nDp1q2bKlCggDpz5ozuUjzetm3bVLNmzRQAVaNGDTV//vx77j6x2+3q8ccfV2XLllUJCQkGVWpNOZnWnRU3btxQ5cuXVw0aNLDk/lRGysm07qw4d+6cevDBBw1dAjF48GAVEBCQ7TEfT2LacPn5558VABUeHq67FI+2Y8cO1aJFCwVAVatWTf3000+G9cl/++23CoBav369Id/PihwOh1qxYsXNad0NGzZUq1evNqylPXDgQJUrV64sz2byRna7Xc2ePTvb07qzyhVLIBITE1XFihVVvXr1THvTYMpwuXTpkipatKhq1aoVu8PuYNeuXapVq1YKgKpSpYqKjIw0dKD36NGjKm/evOq1114z7Htayb1O686K7du3K5vNpkaMGGHY97SSW6d1t2zZMlvTurPCuQQiMjLS0O+rlFJbt25VPj4+auTIkYZ/b3cwZbiEhoaq/Pnzq5MnT+ouxePs2bNHtW7dWgFQlSpVUrNmzTL8zsfhcKgnn3xSlSpVSl29etXQ7212DodDrV27VjVq1CjH07qzIjExUVWqVEnVqVPH9AO/RrPb7WrevHmZpnVv27bN8J/jXALRrl07l93kvvPOOyp37tzq8OHDLvn+rmS6cHHu9Dpx4kTdpXiUvXv3queff14BUBUqVFAzZsxwWXPaudPrqlWrXPL9zerWad1Llixx2ZvO0KFDVUBAgPrtt99c8v3NyOFwqAULFmSa1r1lyxaX/byXXnpJPfDAAy5dAnH9+nVVrlw59dhjj5mue8xU4XLlyhVVvHhx1axZM3aH/e3XX39Vbdu2VQBUuXLl1LRp01x6J3vixAmVL1++u+706m0yTut+9NFH72lad1bs3r1b+fr6qi+++MJlP8NMbp3W/cQTT9zTtO6scOcSiE2bNikfHx81ZswYl/8sI5kqXF555RXu9Pq3/fv3q/bt2ysAqmzZsio8PNzl3SMOh0M1b978X3d69RZbtmxRTz31lAKgatasec/TurMiKSlJVatWTdWqVcsy24TklMPhUEuWLFG1a9dWANTjjz9+z9O6s0LHEoj+/furwMDAO+7C7IlMEy5r1qzhTq9Kdh1+8cUXFQBVpkwZNXnyZLe9yUyePDnLO71aWcZp3dWrV1fz5s1z26r4jz76SPn7++d4sZ8VOBwOtWzZMlW3bl0FQDVq1EitXbvWbW/0OpZAJCQkqDJlyqgmTZqYZgcGU4TLtWvXVOnSpdUTTzxhmgtrtD/++EO99NJLysfHR5UqVUpNnDjRrXeup06dUvfdd5/q2bOn236mp8k4rbtq1aqGTuvOil9++UX5+fmpTz75xG0/05O4elp3VixZskTbEoh169YpAGr8+PFu/9k5YYpweeONN1SePHnUn3/+qbsUtzt06JB6+eWXlY+PjypRooT68ccfVXJysltrcDgc6tlnn1VFihSx7Hnfd7N79271zDPPuGxad1akpKSoRx55RNWoUcPtz79uDodDrV69WjVs2NBl07qzwhOWQLz66qsqb9686tixY1p+fnZ4fLhs2LBBAVBjx47VXYpbHTlyRHXr1k3ZbDZVvHhx9d1332k7qW7atGkKgFq8eLGWn69LVFRUpmndERER2mbsfPrpp8rX19eQFeVmsm7dupvTuuvUqaOWLVum7Y29V69e2pdAXL16VZUsWVI99dRTHj+pyaPDxbnTa+PGjb2mOywmJkb16NFD+fr6qqJFi6px48ZpPf7UudNrly5dtNXgbr/88otq06aNW6Z1Z8X+/fuVv7+/+uCDD7TV4G4bNmxQTZo0UQBUSEiIS6d1Z4UnLYFYuXKlAqB+/PFH3aXclUeHy4ABA1Tu3LnVkSNHdJficn/++acKDQ1Vvr6+6qGHHlJjx47Vfppjxp1eL1y4oLUWd9i3b5964YUX3DatOytSU1NVSEiIqlq1quXOWL+dTZs2qSeeeMJt07qzwhOXQPTu3Vvly5fPo2fOemy4OHd6HTVqlO5SXOrYsWOqT58+ys/PTwUHB6vRo0d7zJkozp1e582bp7sUlzpw4ECmad1hYWHaQ8Xpyy+/VDabTe3atUt3KS5167TuBQsWeMwbuXMJxPHjx3WXctPly5dVsWLFVIsWLTzmOt3KI8Plxo0bqkKFCpbe6fXEiRPqlVdeUX5+fqpw4cJq1KhR6vr167rLusm502vHjh11l+Iyv//+u+rYsaPy8fFRpUuXduu07qz4/fffVUBAgBo8eLDuUlxm+/btqnnz5lqmdWeFcwnEd999p7uUf1i6dKkCoKZMmaK7lNvyiHBJS0tTqampNxN40KBBptvp9dbHcCd//fWXevXVV5W/v78qWLCg+t///ucR29XfWn+HDh1UwYIFDd3p1dWy+hxknNZdsmRJt0/rvpOM9aelpal69eqpSpUqae8ezY6sPgc7d+5ULVu21Dat+04y1m+GJRA9evRQ9913nzp16pRSKuvX3x38oIlSCgcOHEBERAR+/fVXpKSkoESJEqhSpQpGjRqF4cOHo1KlSrrKy5I7PYa2bduiZcuWCAwMvPm1p0+fxrBhwzBx4kTky5cPn332Gd544w0EBQV5XP2FCxfG3LlzERkZiUKFCmmrLyuy8xwcOXIEn376KSIiIlC8eHF8//33CA0NRUBAgMfVDwA7d+7Etm3bkDt3bm31ZUV2noM9e/bg448/xrJly1C5cmXMnj0bL774Imw2m8fVf/78ecTGxmLt2rVa67ub0aNHY+XKlXj55ZdRv3597Nu3767X3518lFLK3T80LS0N48ePx+TJk9G+fXvUq1cPAQEBiIuLw8yZM7Fjxw7s3bv35i+ZJ7rbY5gzZw58fX0xduxYKKUwfPhwTJgwAXnz5sWgQYPw5ptvIl++fB5b/4wZM7B//37s2LEDRYsW1Vrn3WT1OUhISMBnn32GmTNnomjRonj//ffRq1cv5MqVy2PrnzFjBmJiYrB+/XoUKVJEa513k9Xn4OzZs/jkk0/w888/o2LFivj444/RsWNH+Pr6emz9M2bMwNmzZ7FkyRKPfQ7S0tLw2muvYenSpejXr98dr7+W+nU0l8LCwlSdOnXUgQMHlN1uV71791ZlypRRO3fuVImJiWr48OGqffv2HjUGcausPIYKFSqoXLlyqQIFCqjPPvtMXblyRXfZN3nLc1CmTBlls9k8Ylr3rbzlOShevLgCoMqXL699WvetzP4ceHL9bg+XuLg4VaNGDbVx40blcDiU3W5Xbdq0UX5+fjd3Mk1OTlZdu3ZVs2bNcnd5WZLVx9CpUyfVoUMHj9vk0duegx49enjcuIW3PQevvfaax8zAczL7c+Dp9bu9I3H79u0oVKgQSpUqhZiYGERHRyMhIQFKKZw6dQrR0dE4efIkunbtigULFsDhcLi7xH+V1ccQGhoKm82mvQvsVt72HCQmJmodV7kdb3sO4uPjPW7cwuzPgafX7/YB/ejoaFSuXBlDhw7FkiVLAACJiYmw2+3o3bs3fH19kT9/fkRERCA2Nhapqana+8ZvZfbHYPb6AfM/BrPXD5j/MbB+13J7uAQEBCA5ORnFihW7ORssJiYGly9fRqlSpRAUFISgoCD4+PjAZrfDx8fH3SX+q2w9hkuX4HPlClC4sOaq02Wr/sOH4fPZZ0DTpkD9+oDG2W0ZZesx2Gwe9zoye/2A+R8D63cxd/fDbdy4UdWtW1ddvHhRJSUlqcTERPXcc88pPz8/tXbtWpWUlKSSkpLUrJkzVT+bTanWrZWaO1cpD9oJNsuPISJC9fPxUcrPT6mmTZX63/+U+uMPpTTPQc9W/WXKKFWwoFLOx1GvnlLvvqvUokVKxcd7/mOYNUv169dPW513Yvb6lTL/Y2D9ruX2TtCQkBAEBgZiwYIF8Pf3R0BAwM2+WOf/JyQkYNLkyejy9tvA+fPAiy8CxYoBb78N/PKLu0v+h2w9hjlzgG+/BfLlAz75BKhaFShXDnjrLWDlSiApybPrnzoViI0FfvtNHke5csCsWUDbtkDBgkDNmsCbbwKRkcCZM573GCZNQpcuXdxWV1aZvX7A/I+B9buY2+NMyUl+VapUUTNmzFA3btxQAwcOVPXr11d79+5VJ06cUJ06dVIffPBB+pTF336Tu+WHHpI76EceUWrMGKXOn9dRfs4eg1JK3bih1NKlSr3xhlKlSsljyZtXqTZtlJowQam/V9l6bP1ODodSR48qNXWqUn36KFWhgjwWHx+lypVTqlcvpcLClIqJcWkr7Z4egwcwe/1Kmf8xsH7X0bKIEgC2bt2K9957D7lz50aDBg2QN29eHD16FFFRUejUqRP69+//z8Gn1FRgxQogPBz4+WfAxwd47jmgZ0+gZUvAz71DSDl6DE5KAb//DixdKn+2bQMcDuCRR4DWrYFnngHq1AFcuMjsnuq/1blzwObN6X/275fHWLQo8PjjQKNG8neVKoCBs4YMfQwamL1+wPyPgfW7hrZwAYBr165h+/btiIqKQmJiIsqVK4cmTZqgZMmS/z74dP48MHOmBM3+/cBDDwHduknQVK7sjvIB3ONjyOjiRekmW7pUAvTiRaBQIaBVKwmaFi2A++7z3PpvdekSsHUrsGULsGkTsGcPkJYGPPCABE3jxhI2jz56zzcFLnsMbmL2+gHzPwbWbzyt4WIIpWQcJjwciIiQN+W6dSVkXnoJKFBAc4E5kJYG7NgBLFsmYXPggLwBN2okQdO6NVCxorTczOL6dWDnzvSWzfbtQGIikDcv0LChhE3jxvLcadoLiYiMY/5wySg5WbrLwsPl7j8gAHjhBQmap54ytDvGrf76S0Jm2TJg7VqZBFC2LPDss/KnSRPAg5vtt5WSAkRFpYfNli3AlSvynNWtmx42DRsC+fPrrpaIssla4ZLRmTPA9OkSNIcPAyVKAD16yJ+HH9ZdXc7duAGsXy9Bs2QJcPKk3P03ayatmmeekXEOs7HbZUbapk3pgRMbKzcEjzwiXWiNG0vrzcN3aiYiK4eLk1LSxTR1KjB7NnD1qrxR9ewJdOjgMYsCc0QpeUN2TgrYvl0mBdSqJS0a56QAM7bYlAKioyVsnOM2x4/L5ypXzjxJwIN3zybyVtYPl4xu3AAWLJDWzNq1csf/4osSNI0bm2sM43bi46U7cNky+fvSJdkZoFUrCZtmzVwyKcBtTp5Mb9Vs2gQcPCgfL106vRvt8ceB8uXN/1wSmZx3hUtGJ05Ia2bqVODYMekqc3abWeFOOC1NWjLOSQG//SaTAho3Th+rqVDB3G/C589Lq8YZOL/8Ii23woUzt2yqV3fplG4i+ifvDRcnh0PugsPDgblzZQbT009La6ZtW+vMXDpxIr37bN06mfzw8MPpa2oef9x8kwJudfWqrBdydqPt2iUTB+67D3jssfSWTUiITBwgIpdhuGR07Rrw008SNFu2yJtS584SNHXqmPsuP6MbNyRgnGFz6pSMPWWcFOChJ+9lS1KSBIxzksC2bTIlOjBQNuF0ThKoXx/Ik0d3tUSWwnC5k+jo9G6z06dlZXnPnkDXrrJg0yqUknU0S5ZIF9r27fKxkJD0SQG1a5tzUsCt0tKk68w5SWDzZlkX5ecnj9HZlfbYY8D99+uulsjUGC7/xm4H1qyR1szChfIG1aqVBE3r1tbrXrlwIfOkgMuXgeDgzJMCrLLuxOEA/vgj8ySBM2ekhVq9enrLpnFja91QELkBwyU7Ll2SHYHDw2U7k4IFgS5dJGhq1tRdnfHS0qQrybmm5o8/AH//f04KsAqlZHJHxunPMTHyufLlM08SKF3aOt2kRC7AcMmp336TLrPp04G4ONkjq2dP4OWXgQcf1F2daxw/nj5Os369TAooVy7zpACrteTOns3csjlwQD5evHjm6c+VKzNsiDJguNyr1FRg+XJpzSxZImMTzz8vU5pbtHD7Ts1uc/26rBVyTnU+fVomBTRvnj4pwIpdSRcvyoaczsDZs0e6Th98MD1sGjeWXQWs+twTZQHDxUhxcek7NR84IDOunDs1/30MqSUpBezbl77/2Y4d8rHatdO7z2rVssakgFslJMjjdXaj7dghs9SCgmRigLMbrU4dIHdu3dUSuQ3DxRWUAvbulW6zmTNlrKZ+fQmZTp3MvUo+K86fzzwp4MoVmRTwzDPpkwLy5dNdpWskJ8uGnM7pz1u3yvqbXLlkQ07nJIEGDax7DYjAcHG95GRg8WJpzaxcKW8y7dpJ0DzxhDXv5jNKTc08KeDgQZkU0KRJetiUL6+7Stex2+W8oYyTBM6flx0DHn00fZJAo0YyQYTIIhgu7nT6dPpOzUeOACVLpm85U7as7urc49ixzJMCUlJkxplzTU3jxtabFJCRUrJLd8ZJAn/9JZ+rWjXzuE3x4nprJboHDBcdlJLFiuHhQGSk7AzQpEn6Ts158+qu0D0SEjJPCjhzRrqKMk4KCA7WXaXrnTiR+YjoQ4fk42XKZF5rU64cZ6SRaTBcdLtxA5g/X4Jm3ToZCO7YUYLmsce8581EKeDXX9NbNbt2ycfq1EmfFPDoo9bvRgRkYojzALVNm2SyhMMhs+8yrrWpVs07rgeZEsPFkxw/nr7lzPHjMhbRowfQvbv3dZHExclkgKVLZazq6lV5c3V2nz39tPcMiF+5IuNWzpbNrl0yllWggASNc61NrVoynkXkARgunsjhADZuTN+pOSlJZlg5d2r2timtqaky68rZqjl0SMZlMk4KKFdOd5Xuk5gI7NyZHjbbtkkLOE8emYXm7EarV48bcpI2DBdPd/UqMGeOBM22bXK36typuXZt7+k2y+jPP9PX1GzYIJMCKlZMb9U0amTtSQG3Sk1N35DT2Z126ZK0YurUSQ+bxx6z/jR48hgMFzM5ciS92+zMGZld5Nyp2RsGvm8nIUE2FnVOCjh7VjbWbN5cwqZVKzk8zJs4HMDvv2ee/nz2rNyI1KyZPm7TuLH3vm7I5RguZmS3A6tXp+/UbLfLG2nPnnLn7k137RkpJXfwzu6z3bvl47dOCvC21p5S0trLOP356FH5XMWKmScJlCqlt1ayDIaL2V28mL5Tc1QUUKhQ+k7NNWrork6vuDjZ923pUmDVKuliLFIk86SAoCDdVepx+nTm6c+//SYfL1ky84acFSt6XxiTIRguVnLgQPpOzefPy+wh507NDzyguzq9UlIyTwo4fFhaeE2bpk8KePhh3VXqEx8vXWjObrS9e6VFXKhQ5oWdNWvK7gJE/4LhYkWpqTIGER4ub6Q2G9CmjQRN8+Z8cwDknJaMkwJSU2VzUWf32WOPefe03oQEWejr7EbbuVO2MsqfP/OGnLVry5ZGRLdguFhdXBwwY4YEzW+/AUWLyrqZHj2ky4Nkh4SMkwLOnZNZVS1aSKumVSu5g/dmyckyhuWcJLB1q1y33LllyrNz3KZBA+/taqRMGC7eQikZkwkPByIi5PjiBg3Sd2q2ytHF98rh+OekAB8feQN1dp898gjHIdLS0jfkdI7bXLggreKQkMwbcnp7l6yXYrh4o6Sk9J2aV62Sbo327SVomjblliIZnTsnkwKWLZNrde0aUKxY+t5nTz/tPXvB3Y1SsrjV2bLZuBE4dUo+V7165nGbokX11kpuwXDxdqdPA9OmSdBER8vZ8M4tZ8qU0V2dZ0lJkTt0Z/fZkSMSzBknBXjL7tb/RqnMG3Ju2iTXC5CJExmnP5cty5agBTFcSCglOwA4d2pOSJDzZnr0kFYN787/KTo6fVLAxo0yKaByZaB1awmbhg29e1LArWJjM09/3rdPXndFi2ae/lylClvPFsBwoX+6fh2YN0+mNa9fLxtEOndqbtiQd5m3c/WqTApwhk1srEwKaNkyfVIADwPL7PJlmRjgnP68e7eM5TzwQPoOAo0by8JXhrTpMFzo7o4dS+82O3FCDvZydpsVK6a7Os/kcMg6EeekgD17JJDr10/vPqtZkyF9qxs3ZMqzc5LA9u2ySWfevHJT4+xGq1sXCAzUXS39C4YLZY3DIetBwsOlVZOcLGtmevYEnn/e+3Zqzo6zZzNPCkhIkCMUnEHz5JPsdrydlBQJaeckgc2b5fiBgADZ0sd5kFrDhpzt6IEYLpR9V66k79S8fTtw//2yC0CPHjINlXfkd5acnD4pYMkSWcyZK5eMbzkXcJYurbtKz2S3y1qtjJMEYmNlfOaRRzJvyOnt65I8AMOF7s3hwzI2M22a7NRcrVr6Ts3ethtxThw5kt59tmmTjDlUqZJ5UoCfn+4qPZNSEs4Z19ocOyafq1w58ySBEiX01uqFGC5kjLS09J2aFy2SbrSMOzVzQPbfXb0q19A5KSAuTs7vcU4KaNmSkwL+zcmTmY+I/uMP+XipUundaI0by9ghW9guxXAh48XHp+/UvHevtGC6dpWgqVZNd3Xm4HDIjgrOVk1UlHT/OCcFtG4tixP5Bnl3Fy6kj9ds3iyvR4dDXpMZ19pUr8499wzGcCHX2r9fus1mzJCdmkNCJGQ6d+a2INlx9qy0ZpyTAq5fl0kBznGaJ5/kkcZZcfWqjBM6WzY7d8rEgfvukw05nd1oISHeey6SQRgu5B4pKZl3avb1Bdq2laBp1ox3jdmRnCxvjM5JAX/+KbP1Mk4K4KFfWZOUlL4h5+bNspA4IUGmOtevn966qV+fM/qyieFC7hcbm75T8++/y3oZ507NFSrors5clJJJAUuWSNhs3izjX9WqpR+K1qABJwVkVVoa8Ouvmac/x8fL9atdO33M5rHHZJYk3RHDhfRRShYYhofLGM3ly/JL27On7AiQL5/mAk3oyhXpNnN2oZ0/L2+CGScFPPig7irNw+EADh7MPP359GkZ66pePfMkgYce0l2tR2G4kGdISpJZZs6dmgMD03dqbtKEe03lhMMhXT7OjTb37pXr2KBB+qSAatU4KSA7lAKOH888/Tk6Wj5XvnzmSQKlS3v1tWW4kOc5dSp9y5mYGNmd+f/+T7rNKOfOnEkPmjVrZFJAiRIS4P/9r+7qzOvs2czTnw8ckBAqVkx2zJ461Stvjhgu5LmcL03n3zYbMH8+okqVQkhIiL66rOB21xZAVFQUr+29Ukpajc5WS4Zg8abr631xSubh4yN/bDb5c+UKD5oySkRE5mtLxvHxkZmQt17bP//UVpIOfFWROdjtwJQpMiWU7l1kpO4KrK1r139+rEMH99ehEcOFPJ/dDowZA7z9tu5KrGPRItlehlyjUyc5QiCjrVv11KIJw4U82+XLwIQJwH/+49Uzbwzn4wPMnw/89Vf6uAsZq2/f9P/+8kuv20GBK6vIY6k1a4Br14BXX/37A+rvv/hmeK+UUkC/fjLLaedO2aK+UCFeW4MopWS247JlQHCwTKtXyquuL8OFPNb14GBZh3HunHzg75ZLMLfhuGfXY2PlP8qXBx5+WPbcio9HMBdYGuJ6bKzcDD30kGwnU6wYEBvrVa9dTkUmz5aWJiuh779f7rK5B5mxXnpJFloePswtYow2ciTwySeyfYwXntTKMRfybH5+wKRJ0nXzzTe6q7GeIUPkgK2fftJdifW0bAkkJspNkRdiy4XM4T//AX74Adi3T7pyyDitWskq819+4aQJIykFlCwp++SNGqW7GrdjuJA53LgB1KwpiyjXr+fCPyNt3Cjb9f/8s+ykTMbp21e28f/9d92VuB1/Q8kc8uSR7rHNm4Hx43VXYy2PPy6bWQ4frrsS62nZUnZVPnFCdyVux3Ah82jSBHjjDeC994CjR3VXYx0+PjL2snWrbL5IxnnqKZmEsmKF7krcjt1iZC4JCUCNGrJT8urV7B4zisMh3Y6lSsnBY2ScJk3kSO8FC3RX4lb8zSRzCQoCJk6UcZcJE3RXYx02m7Reli2TSRNknBYtgLVr5ahvL8KWC5nTq6/Kzr4HDvC8eKOkpckx0/Xry7UlY/zyCxASIgHzxBO6q3EbtlzInP73P1lY+cor3BvLKH5+wKBBwJw5ckgbGaNmTdkCZuVK3ZW4FcOFzCl/fukWW70amDxZdzXWERoKFCzolesyXMZmk1ljXjaoz3Ah82rRQt4MBw2So5Hp3gUGAgMGAGFhsrCSjNGiBbB/P3D6tO5K3IbhQuY2apQM8vfrx+4xo7z+uuyFNWaM7kqso1kzacF4UdcYw4XMrUAB4McfgeXLgWnTdFdjDffdJwHz/ffApUu6q7GGBx8E6tb1qq4xhguZ37PPAt26Ae+8A5w5o7saa3jrLSA1lbshGKlFCxkjTEvTXYlbMFzIGkaPlq6c119n95gRHnoI6NULGDv2n8f1Us60agVcuQLs2KG7ErdguJA1PPAA8N13wOLFwKxZuquxhkGDpFuMs/GMERIi3WNeMu7CRZRkLS+/DKxaJbvQBgfrrsb8unWTzUKjowF/f93VmF/XrsChQ8CePborcTm2XMhaxo6VjQLfeIPdY0YYPBj46y+u2DdKixbA3r2A85hpC2O4kLUULAiMGwfMn8/TFY1QvTrQurXsiOBw6K7G/Fq0kL+9oGuM3WJkTS++KIdg/f47UKiQ7mrMbds2oFEjCey2bXVXY3516sgebjNn6q7EpdhyIWsaN066xd56S3cl5tewoRwoNnw4uxqN0KqVjAva7borcSmGC1lTcDDwzTdAZKTXnaPhEkOHArt2yVEHdG9atADi4y0/qM9uMbIupYB27WRdwW+/yTRQyhmlZCptwYJy1005l5YGFC4se7h9/LHualyGLReyLh8fWfuSkiKr9ynnnEchr1lj+Ttul/Pzk73GLL4VDMOFrK1IEVm9P2MGj++9Vx06AOXKASNG6K7E/Fq0kG7G+HjdlbgMw4Wsr1s34Jln5PTKy5d1V2Nevr7Au+/KrLFDh3RXY24tW0pXo4W7GBkuZH0+PsAPPwAJCcDAgbqrMbfu3WXfsZEjdVdibkWLAjVqWHq9C8OFvEPx4nL2S1iY5fu6XSpXLhm/mjEDOHlSdzXm1qqVvBYtujiV4ULeo1cvoHlz4JVXZHdaypl+/eSAttGjdVdibi1aAHFxwK+/6q7EJRgu5D18fIAJE2TcZfBg3dWYV758wJtvyrW8cEF3NebVsKFcS4u2pBku5F1KlpR9siZOlGm1lDP9+8vf48bprcPMAgKAp56ybLhwESV5H4dD1hkcPQrs3y93j5R977wjR0sfP85rmFM//iitwPPn5chuC2HLhbyPzQZMmiRdOu+9p7sa83rnHeDaNWkFUs60bCl7jFmwFc1wIe9UpgwwbJis4N+wQXc15lSypBx+9fXXQHKy7mrMqVQpoHJlS05JZriQ93r9ddntt08f4Pp13dWY0+DBwNmzwPTpuisxL+eUZIuNUDBcyHs5u8fOngU+/FB3NeZUqRLwwguyqNLiW8i7TIsWwOnTsrmqhTBcyLuVKwd8/rkcj7x1q+5qzGnIECA6Gpg3T3cl5tS4MZAnD7B8ue5KDMXZYkR2u3SPxccDv/wCBAbqrsh8mjUDLl6UHZN9fHRXYz7PPQfcuAGsXau7EsOw5ULk6wtMngycOGHp8zVcauhQCWYLb8ToUi1bAlu2yOw7i2C4EAEydvDf/8rMpx07dFdjPk8+KWfDDx+uuxJzatkSSE0F1q3TXYlh2C1G5JSWBjz2mNw97t0L5M6tuyJzWbAAaN9exq4aNNBdjflUrCgr9r/7TnclhmDLhcjJzw+YMkVW7n/6qe5qzKdNG2kB8jCxnGnZUgb1LXK/z3AhyqhqVeCjj2RqLY/zzR6bTda9LF5suWm1btGihYz7HT6suxJDsFuM6FapqdKtk5IC7N4tZ5hQ1qSkAOXLA02ayL5jlHU3bgAPPgh8+aVsrWNybLkQ3crfX7rHDh+WX3TKuoAAOe1z1izg2DHd1ZhLnjwSyhbZCobhQnQ7NWoA778v+49Z9DAnl+nTB7j/fjn5k7KnZUtg40ZpxZicqbvFYmNjERkZidjYWAQHB6NTp04IDg7WXZZH4zXLhpQUoG5dwGZD7OLFiJw/n9ctqz77DGrYMEx6/30cT0zkNcuqQ4egqlTB4r59satgQXNfN2VCdrtdDRkyRPn5+Smbzab8/f2VzWZTfn5+asiQIcput+su0ePwmuWMffdulWazqf+z2Xjdsshut6tPBgxQVwD1BcBrlkV2u10NGTxY/QmosRa4bqYMlyFDhigAd/wzZMgQ3SV6HF6znBkyZIj6FFBJgKrG65YlztfaCEBdAlR+XrMscV638YA6bIHXmum6xWJjY1G8eHGkpaXd8Wv8/Pxw6tQpczYlXYDXLGec182WloY9AJIANACQce9fXrfMMr7WigA4CuATABlXvvCa/VPG6/YcgIUAKgD4M8PXmO26mW5APzIyEg6H465f43A4EBkZ6aaKPB+vWc44r1sKgF4AHgXw9i1fw+uWWcbX2lkAUyHXLONeB7xm/5Txuq0HkAqg5S1fY7br5qe7gOyKjY2Fr6/vXd8sfX19ERsb68aqPBuvWc5kvG57AHQDcOuetbxumd36WhsBYAWAjOdU8pr9U8brlgCgJ4Bdt3yN2a6b6cIlODgY9n85lMhut5um6egOvGY5c+t1m32br+F1y+zWa3bs7z8Z8Zr9kxVfaxxz8QK8ZjnD65Z9vGY5Y8XrZroxl+DgYAwcOPCuXzNw4EDTPAHuwGuWM7xu2cdrljOWvG56J6vlTMY1Gz4+PgqA8vHxMe18cHfgNcsZXrfs4zXLGatdN1OGi9O5c+fUoEGDFAA1aNAgde7cOd0leTxes5zhdcs+XrOcscp1M92Yy6327t2LkJAQREVFoVatWrrLMQVes5zhdcs+XrOcscJ1M92YCxEReT6GCxERGY7hQkREhmO4EBGR4RguRERkOIYLEREZjuFCRESGY7gQEZHhGC5ERGQ4hgsRERmO4UJERIZjuBARkeEYLkREZDiGCxERGY7hQkREhmO4EBGR4RguRERkOIYLEREZjuFCRESGY7gQEZHhGC5ERGQ4hgsRERnO9OFit9sBAEopzZWYB69ZzvC6ZR+vWc5Y4ropE3I4HGrfvn1qyJAhqkGDBsrf31+1bt1azZ8/X924cUN3eR6J1yxneN2yj9csZ6x23XyUMlc0pqWlYfz48Zg8eTLat2+PevXqISAgAHFxcZgzZw58fX0xduxYFClSRHepHoPXLGd43bKP1yxnLHnddKdbdoWFhak6deqoAwcOKLvdrnr37q3KlCmjdu7cqRITE9Xw4cNV+/bt1fXr13WX6jF4zXKG1y37eM1yxorXzVRjLufPn8fo0aPx1VdfoWrVqgCACxcu4OTJk0hOTkbu3LnxzjvvIDAwEIsXL9ZcrWfgNcsZXrfs4zXLGateN1OFy/bt21GoUCGUKlUKMTExiI6ORkJCApRSOHXqFKKjo3Hy5El07doVCxYsgMPh0F2ydrxmOcPrln28Zjlj1evmp7uA7IiOjkblypUxdOhQLFmyBACQmJgIu92O3r17w9fXF/nz50dERARiY2ORmpqKXLlyaa5aL16znOF1yz5es5yx6nUzVbgEBAQgOTkZxYoVQ6VKlQAAMTExuHz5MkqVKoWgoCAEBQXBx8cHNpsNPj4+mivWj9csZ3jdso/XLAeSkhBw5gySk5Ksd920jvhk08aNG1XdunXVxYsXVVJSkkpMTFTPPfec8vPzU2vXrlVJSUkqKSlJzZo1S/Xr1093uR6B1yxnsnzdIiJUv86ddZfrEfha+xcOh1InTig1Z45SAwcq1aiRUvnyqY1+fqpujRqWu26mGnMJCQlBYGAgFixYAH9/fwQEBMBmk4fg/P+EhARMmjQJXbp00VytZ+A1y5ksX7cxY9Bl1iygWTNgzhwgJUVz5fpk+Zp9+y26tGypuVo3SEwEtm4Fvv4a6NQJKFMGqFAB6NYNWLJE/r9jR4SUKYPAP/7AgvnzLfU7aqpusbx582LYsGHo06cPcuXKhXbt2qFcuXKoXbs2goKCcPLkSQwePBj169dHw4YNdZfrEXjNcibL161pUzR87TVgyhTgpZeAQoWAHj2APn3kjcSLZOmavfsu6u/bh4a9egEJCUCXLoBZunnuRing+HFgxw5g1y5g505g/34gLQ3IkwcICZFQqVsXqF0b2LwZGDYMOHQIeZs3x7AhQ9Dn66+RK3duy/yOmm4RJQBs3boV7733HnLnzo0GDRogb968OHr0KKKiotCpUyf079/fFANe7sRrljPZum5//AFMmgRMmwZcvAg0bSoh064dkDu31sfhTv96zV5+GbmGDAFmzgRatwZ++AEoWlR32dlz/ToQFSUh4vxz/rx8rlw5CZH69eXvatUAPz/Abgd++gkYPhw4fBho2RL44AMJG1jvd9SU4QIA165dw/bt2xEVFYXExESUK1cOTZo0QcmSJc0z4OVmvGY5k+3rlpQEzJ8PTJwIbNwIPPBAemumcmX3PwANsnTNFi8GXn1Vrtfo0UD37p7ZilEK+PPPzEHy228SFkFBEg7OIKlXD3jwwcz/Pi1NQmXYMCA6GnjmGeD996U1cwsr/Y6aNlyITOHwYWnNTJ0KXLgANGoE9O0LdOgABAbqrk6/ixeB//xHWnutWgE//ggUL663pqtXpVWSsYvr4kX5XMWKmVslVaoAvr63/z5paUBkpLRUYmKAZ5+VUKlVy32PRSOGC5E7JCcDCxdKa2bdOqBAAblT79NHuk283dKlQL9+Mg4zahTQq5d7WjEOB3DkiISIM0x+/11aK/fdB9SpI62RevWkhfLAA//+PdPSgFmzgBEjpMXz3HMSKo884vKH40kYLkTuFhMDTJ4MhIUBcXFAgwbSmunYUQZ/vdXly8CgQTI5onlzYMIEoGRJ43/G7t3p3Vu7d8vHfHyky9IZJPXqSSvFlo0JtampEirDhwPHjgHPPy9jKjVqGPsYTILhQqRLSoqMO0ycCKxeLXfKXbtKa6ZmTd3V6bNiBfDKK8CVK8DIkRK8OWnFOBzAwYOZWyUHD8rn7r8/fYzE2Sq5776c1ZuaKpMTRoyQGWNt2khLxUtDxYnhQuQJjh6VO/YpU4Bz5+SNr08fmd4cFKS7Ove7cgV4910Zr3rqKQng0qXv/m8uXpQAcYbJnj0yfmKzAVWrZm6VlCuXvVbJ7aSkADNmAP/7H3DiBPDCC8B77wHVq9/b97UIhguRJ0lNlfGHiRPlDj5vXlkL0rev1wwEZ7JqlbRi4uPlTbxfPwmFtDSZ+p1xBld0tPybBx/MHCQhIUC+fMbVlJICTJ8u9Zw8KVPN33tPAoxuYrgQeaoTJ9JbM6dPS7j07Qt07gzkz6+7Ove5ehV4+20gPBwoVUpmk/3xh6w18fWV7qeMM7jKlnXNZIDkZJnVNnIkcOoU0L69hEqVKsb/LAtguBB5urQ0YPlyac0sWyZTmDt3lqCpXdsz14bci9RUWUeSsVVy9KiMoTi3m2/dWqYwh4RI686VkpMl2EaOBM6cAV58ERg61GvWLOUUw4XITE6dkpbM5MnSJVOzpoRMly45H5DWLTY2c5BERcm+XH5+Mn23Xr30lskDD8hg+fjxwOOPy5hMuXKuqSspKT1Uzp1LD5W/dy6mu2O4EJmR3Q6sXCmtmSVLgIAAGfzv00fehD21NZOSAuzbl744cedO6f4DgCJF0ru26teXYLnTQtMNG+Sxnj0LfPEF0L//nRczZldSkgT4V19J8HXqJKHiZXvF3SuGC5HZnTkja2YmTZI36mrVpDXTtatMudVdm3Ma8I4dwC+/SDdTQICER8YwKVYse6F4/bqsI/n2W1krNHmyrE3JqcRE+R6jRsn6o86dgSFDgPLlc/49vRjDhcgqHA5ZLzNxoqyf8fOTrpy+fYHHHnN9ayYpSVolGcPk9Gn5XIkSmWdw1awJGLUJ4+bNQO/e0mX42Wcy+J+dVowzVL76SrbocYaKq7rbvATDhciKzp2T8YJJk2QwvHJl6Ubq3v2fGyvmhFIy5pNxrGTfPun2yp1bZrZlDJMiRe79Z97NjRvA//2fbIBZr56Exb8NuN+4Iddn1CiZ6tyli4RK2bKurdVLMFyIrMzhANavl9bMggXSeunQQVozjz+e9dZMYqJ0ae3YkR4m587J50qXzrwrcPXq0u2lw7Ztsi/ZiRPAJ58AAwdKCy6j69flenz9NXDpknQfDh4sh3eRYRguRN4iLk7WaUycKAsOK1SQ1kyPHnLImZPz4CtniOzaJa2SjAdfZQyTwoW1PaTbSkyUYBk1SmqdMkUWOF6/LvuVff217CfWrZuEyr+t/KccYbgQeRul5JyZiROBefPk/xs1Ah5+WLqHdu1KP/jq4Yczd285D74yg507pRXz55/Ak09KQF67Jl2D774rCzLJZRguRN7k1oOvtmyRBYtpafK5PHlk5lVoqJyUaMT4jC7XrslMsmHDZCv/woWl5daihe7KvALDhcjKrl2TDRz/7eCrOnXk41OmyKmJdrvs7tu3L/D00/e+yaM7Xb0qRyePGSNdYT17As2ayVYtR44AH34o61b8/XVXamkMFyKrcDhkLCXjDC7nwVf580uA1K//7wdfXbwou/1OnCj/vnRpmeobGurZZ91fvQp89x3wzTcyE6xXLxnQd55smZwsCy6HDZNJB1OmeN0BXu7EcCEyq8uXM7dKdu3KfPBVxs0cK1XKfutDKWD7dpmuGxkp04yfe05aM82bG7ci/l5duSLbwYwdK2ttnKFSrNjtv37vXvmaP/6QRZjvvadvdpuFMVyIzOB2B18dOiQB4Dz4yhkm93Lw1Z1cviwHYk2cCOzfLydE9uolf3SdeX/lCjBunIyrJCXJzLeBA7O2piYlRVowX3whuxpPmeKdRxq4EMOFyBO5++CrrFJKjgaeOFGO9E1KAp59Vt7YW7Vyz0yyy5clUMaPl64uZ6g89FD2v9evv0pAHjgg4zAffmjczgFejuFCpJvOg6/uxdWrEjATJsgCy2LFZGymVy9p2Rjt0qX0UElNTQ+V4OB7+76pqXLu/eefy9qfsDBp/dE9YbgQuduFC5mDZM8e9x98ZbSoKGnNRETIY2nZUsZmnn323mdlXbwo4ynffSdB/MorcpaL0Ys3DxyQSQv79sk6mP/7P9nKhnKE4ULkSnc6+AqQVfHO2Vv16kmfv6sPvnK1hARg9mwJmt27ZfwjNFRaNNndXiU+XmZ+ff+9jDm98grwzjuu3REgNVXOb/n0U1lAOmWKPDeUbQwXIiP928FXzi1T6tWTFeJmaJXk1K+/ykyzGTNkvU2zZtKaef75u7dm4uNljcoPP8gYT79+stNxxi1qXO3336V7LypKut4++eTOZ8vQbTFciHLKqIOvrO76dWDOHGnN7NghLQ9naybjtvYXLsiuxj/+KKH76qsSKrp2CUhLk33IPv5YbgSmTAEaNtRTiwkxXIiyKuPBVzt3yiB2UpIxB195iwMHpDUzfbrM+nrqKTnp8fBhefO22YDXXgMGDPCcrWcOHpQg3LlTwu6zz2SbHLorhgvR7SQnS7eOs0WS8eCr4sUzj5UYefCVt0hMlDAZPlwO+fLxkT3NRo+WgPY0drt01X30kTz/kycDjRvrrsqjMVyIlJI3uIwnKGY8+OrRRzNvMe/JW6CYQWysbIc/aZKMvbz4ogzYz5kjM8OaNJGxmXbtPG+21pEj0orZtg3o318WYZp9EoaLMFzI+2Q8+MoZJhkPvnK2SOrWlanB3BrEGOfOpYdKrlzAG2/IG3SBAvL5pCRg/nwZm9m4UfY+695d1rNUqaK19Ezsdllv88EHMrY2ebIEImXCcCFry8rBVxnD5F4X5NE/nT0roTJ5soRK//7Am2/efYuaw4clhKZOlYH+Ro2kNdOhg+dMjIiJkVbM5s0SlMOGAUFBuqvyGAwXspbr12X6aMbpwFY4+MqMzpwBvvpKxlZy5wbeekvehLOz71lyMrBwobRm1q2TVk63bhI01aq5qvKsczhkcefQoTILbtIkOZiMGC5kYs6DrzJu5njggHRbBAXJFh4Zx0o8ZfaR1Z06JaESFiatwwEDZAbYvW6mGRMjrZ+wMDmyuUEDCZmOHfXP3jp6VLrvNmyQdTkjRsgxB16M4ULm4Tz4KmOrxHnwVYUKEiDOMKlSxXO2hPcWp07J6vbwcBnkfvttWati9JtsSgqweLG0Elatku/ftasETc2axv6s7HA4ZI3O4MFyIzNxoiwc9VIMF/JMWT34qm5d+e87HXxFrvfXXxIqU6fKpprOUHHHBptHj0q325QpMmGgbl1pQbz0kr7xj+PHJejWrpVaRo40/ggEE2C4kGe49eCr3btlF1yjDr4i4504IW+c06ZJ4L/zjnQJ6XhTT00Fli6V1sKKFdJy6tJF3txDQtxfj1JSy7vvSrBMmCCbeXoRhgu5n+6Dr+jeHD8O/O9/ssq+QAHZobhvX8+ZKXXiRHpr5vRp2RC0b1+gc2f3j4P89ZdsuLlqlWx5M2pU+tRri2O4kOtdvCgtEedKd085+Iqy59gxCZUZM+QmwBkqnrqIMC0NWL5cWhDLlskU5pdekprr1HHf9jxKySSE//xHAvjHH+UoAotjuJCx7HYZG8nYKjlyRD73wAOZ99/ypIOv6M6OHpXZTzNnykD1wIHS3aR7hlZ2nDolLZnJk4GTJ2Xgv29f6TpzV8v41CnpNly+XBaHjh4tIW1RDBe6N86DrzIex+s8+Kp69cytErMcfEXizz9l769Zs4CCBYFBg2QbejOFyq3sdmDlSmnNLFkiuy906iRBU7++61+fSskY1dtvS0vqhx/kCAILYrhQ1nnbwVfeKiYmPVQKF5aWSu/enrMy3ihnzkh31aRJMk5TrZq0yLp1c32L4swZmVG3ZIm0nsaMsdw6LIYL3RkPvvIuR45IqERGyjY4gwbJILTVQuVWDgewZo20ZhYtktf3iy9K0DRq5LrXtVLS1ThggLSgxo+XzTotguFCIiUF2L8/cxeX8+Crhx5Kb5V4+8FXVnT4sOyL9dNP8ly/+y7Qs6fn7UjsDufOySLQSZOkVV6pknSZde/uupbF2bPA669LsHXqBIwd695TN12E4eKtzpzJ3Cq59eCrjGMlxYuzVWJFhw6lh0rRoumhwrNppDWzfr20ZhYskNd/+/YSNE2aGP/7oBQwe7bsv2azAePGSevJxBgu3ujrr4H335f/dh585ZzBxYOvvMOyZbLDcLFisl1J9+583u8kLk4G4SdOlF0jevaUmWeuEBsrm3vOny/TvgcNcs3PcQOGizdyOOROybmeZNw47H3sMdSqVUtvXeQekyYBL78srVRf35t34Xv37uVr4G5ufascOxZRjRohxOgdANz1c1yMq9W8kc2WvqnjuHHS30veo3dvICJCxtnY3Zl1Pj7p12vsWDmTxsw/x8UYLt5KqfRg4e7B3sXHJz1gbtzQXY25KJX+hu/K3xt3/RwXYrh4IwYLMWCyj8GSLQwXb8NgISdnwMyaJbsq0J0xWLKN4eJl1LffQr3+OpTNBqVUpj/kHTI97wBUr15Qs2bpLsujqW++gXrzTZf/3rjr57gDZ4t5mYTTp+WO1W4H/P1vfvzS5csoUamSxsrIXRLOnZM75JSUTNOPL1++jOJ8DdxWwunT6S0JpW4OuF+6dAklKlc2/uc4HJkG9o3+Oe7AcPE2q1fL+oYnn5RFW1zb4H3++EMOrgoOlh16CxbUXZF57N0rZwzt2SP757nC8uWyJf/y5UCLFq75GW7AbjFvsmqVBMtTTzFYvNXvv8sb1kMPyYmNDBbPohTw3/8CDRoAzZvrruae+OkugNxk5UqgY0fg6adlhhCDxfv89hvQqpVs9bJ8uZyvQ55l+XLZ22/lStOvQWLLxRusWCH7FDVvLjODGCze58AB6QpjsHgupYBPPgEee0xuAk2OLRerW7ZMjnZt2VKOpw0I0F0Rudv+/dJiKVFCgsXCpx+a2tKlMpazerXpWy0AWy7WtnSpbOHdqpWcG8Fg8T7OYClZksHiyZxjLY0ayWQbC2DLxaqWLAE6dwZat5YdXTNMOyYvsW+fBEvp0tKCLVBAd0V0Jz//LIfxrVljiVYLwJaLNf38swTLc88xWLzVr79KV2jZstJiYbB4Lmer5fHHgSee0F2NYdhysZpFi+RM7jZt5EQ9Bov3+eUX4JlngHLlpAV73326K6K7WbxYnrN16yzTagHYcrGWhQslWF54AZg6lcHijfbula6w8uUZLGbgbLU0bSp/LIQtF6tYsADo2lWOYp0yBfDjU+t1oqJkZXfFinI3zGDxfAsXShfm+vW6KzEcWy5WMG+eBMuLLzJYvNWePRIslSrJmBuDxfM5HNJqeeIJoEkT3dUYju9CZjd3LtCjh6y+nziRweKNdu+WWYFVqsiYW/78uiuirFiwQKaKb9youxKXYMvFzH76SYKlUyc5F53B4n127ZJgqVpVusIYLObgcACffir7/DVurLsal+C7kVlFRgKhoTLleMIE0x8sRDmwc6dMN69eXfru8+XTXRFl1fz5siXP5s26K3EZtlzMaPZsCZaXX2aweKsdO6TFUqOGdIUxWMzD2Wpp1kz2EbMotlzMZtYsOZq2a1fg++8ZLN5o+3bg+eeBRx+VO+CgIN0VUXbMnSs7VP/wg+5KXIotFzOJiJBg6dZNXpgMFu+zdat0hdWqJQPCDBZzsdul1dK8OdCwoe5qXIotF7OYMQPo2xfo2RMYPx6w8b7A62zZArRtKychzpsH5M2ruyLKrrlz5STQSZN0V+JyfIcyg+nTJVhCQxks3mrzZgmWOnWkK4zBYj7OVkvLlkD9+rqrcTm2XDzdtGlAv35Ar17At98yWLzRpk2ypU/9+jL9PE8e3RVRTsyZAxw8CISF6a7ELfhO5cnCwyVY+vRhsHirjRulxdKggXSpMFjMyW4HPvtMNhStW1d3NW7BlounCgsDXnsNeOUV4JtvLLVbKmXRhg1Au3YyXXXOHCAwUHdFlFOzZwOHDskNo5fgrbAnmjxZguXVVxks3mrdOukKa9RIusIYLOaVliatlmef9ZpWC8CWi+eZNAl4803g9deBUaMYLN5o7VqgQwc5PCoyEsidW3dFdC9mzwaOHJEZn16ELRdPMmGCBMsbbzBYvNWaNRIsTZsyWKzA2Wp57jmZQu5F2HLxFD/+CAwYIOEyciSDxRutXi3HJjz5pOzEkCuX7oroXkVEANHR8nx6GbZcPMH330uwvPUWg8VbrVolwfLUUwwWq0hLAz7/XI4cr1VLdzVux5aLbt99B/znP8DbbwPDhjFYvNGKFXJsQvPm0i/PYLGGGTOAmBjp3vRCbLnoNG6cBMs77zBYvNXy5RIsLVoAM2cyWKwiNVVaLW3bygajXogtF13GjgUGDwYGDpQXIYPF+yxbJufxtGghd7kBAborIqPMmAEcPSp7wHkptlx0+OYbCZZBgxgs3mrpUuCll4BWraTFwmCxDmerpV07oGZN3dVow5aLu40ZAwwdKuHy3/8yWLzRzz8DXbrIorpp0wB/f90VkZGmTQOOHZMjEbwYWy7u9PXXEixDhzJYvJUzWFq3ZrBYUUoK8MUXslapRg3d1WjFlou7fPUV8OGHwHvvAf/3fwwWb7R4sQRLmzaydxyDxXqmTgWOH5ejp70cWy7uMHKkBMsHHzBYvNXChRIsbdvK5oUMFutxtlpefBGoXl13Ndqx5eJqI0YAH38s4fLhh7qrIR0WLJCjqdu1A6ZMAfz4a2dJ4eHAyZMyWYPYcnGpYcMYLN5u/nwJlg4dGCxWlpICfPkl0LEjULWq7mo8Al/prvLll3Kk6f/9H/D++7qrIR3mzgV69pRukkmTAF9f3RWRq0yZIq2WZct0V+IxGC6u8Pnn8ueTT2RmGHmfn34CQkNl9f2ECQwWK0tOlpvJl14CqlTRXY3HYLeY0ZzB8t//Mli8VWSktFheeonB4g0mTwZOn2bX9y3YcjGKUhIqX3wh5ze8+67uikiH2bOB3r1lZtj33zNYrC4pScZWO3cGKlfWXY1HYbgYQSkZXxk2TMJl4EDdFZEOs2YBffoAXbvKbtcMFuubPBk4exb46CPdlXgcdovdK6VkbGXYMOl3ZbB4p4gIabF0784Wi7dwtlpefhmoWFF3NR6H4XIvlJKpxiNGAMOHy/b55H1mzJAWS8+ewPjxgI2/Vl5h4kTg3DmOtdwBu8VySilpCn/1lYTLgAG6KyIdpk8H+vWTmWHffstg8RZJSXJD2aULUKGC7mo8EsMlC2JjYxEZGYnY2FgEBwejU8eOCB47VjaiHDkS6N9fd4nkYv94DXTqhOAVK4DXXpPusG++YbBYXGxsLNbNmoVOSuGXDz9Erbg4+LDVcmeK7shut6shQ4YoPz8/ZbPZlL+/v7L5+KjhPj4qxddX2ceO1V0iudhtXwM2m+pls6lkPz/l6N9fKbtdd5nkQhlfAyE+PsoOqDhAhfv4qCFDhig7n//bYsvlLt5//32MGDHi5v87HA4MBzAAwAC7HflPn8ZwbdWRO9zuNRAKYByA7xwOnAsMxHC2WCwt42vA8ffHCgD4VCkc/fvjw4fzneBWPkoppbsITxQbG4vixYsjLS3t5sf+B6A/gLcB/AjAz88Pp06dQnBwsJ4iyaVu9xroBQmW7wEMBF8DVnfra6ABgK0AFgF44e+v4Wvg9njLdQeRkZFwOBw3/38kJFgGQIIFkLvYyMhIDdWRO9z6GuiNv1sskGAB+BqwultfA+3//ntyhq/ha+D2GC53EBsbC9+/1ypUhLyxvAVgQoav8fX1RWxsrIbqyB0yvgbyAfgQEi6DMnwNXwPWlvE1AADN//77dIav4Wvg9jjmcgfBwcGw2+0AgMMAqgA4d8vX2O12NoUtLONr4BqkS4SvAe+S8TUAAI0APALgUIav4Wvg9jjmcge362+/FftarY2vAeJrIOfYLXYHwcHBGPgvW7kMHDiQLygL42uA+Bq4B3pnQnu2O61x8PPz4/x2L8HXAPE1kDPsFsuC267O5p2KV+FrgPgayB6GCxERGY5jLkREZDiGCxERGY7hQkREhmO4EBGR4RguRERkOIYLEREZjuFCRESGY7gQEZHhGC5ERGQ4hgsRERmO4UJERIZjuBARkeEYLkREZDiGCxERGY7hQkREhmO4EBGR4RguRERkOIYLEREZ7v8B4Gj/644aRwsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 500x800 with 85 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.expand_width(2, 2, sum_bool=False, mult_arity=[2,3])\n",
    "model.get_act(dataset)\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "038ea175",
   "metadata": {},
   "source": [
    "step 4: now we perturb all edges (mode='minimal' only perturb the currently active edges, mode='all' perturbs all neurons)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "45c8e738",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x800 with 85 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.perturb(mag=0.1, mode='all')\n",
    "model.get_act(dataset)\n",
    "model.plot()\n",
    "# purple means both symbolic front (red) and spline front (black) are active"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "6feae91b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x800 with 85 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot(beta=1000)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
